Finding the Fourth Proportional to 178.41, 267.62 and 97.23
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Solution
The fourth proportional to 178.41, 267.62 and 97.23 is: 145.85
Step by Step Solution
- Step 1: Write the proportion equation
178.41 : 267.62 = 97.23 : x - Step 2: Convert to fraction form
178.41/267.62 = 97.23/x - Step 3: Cross multiply
178.41x = 267.62 × 97.23 - Step 4: Simplify right side
178.41x = 26,020.21 - Step 5: Solve for x
x = 26,020.21/178.41 - Step 6: Final answer
x = 145.85
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.